 | War office - 1861 - 260 pàgines
...equal to each other. 3. In a given circle inscribe an equilateral and equiangular pentagon. 4. If an angle of a triangle be bisected by a straight line...base, together with the square of the straight line which bisects the angle. 5. If a solid angle be contained by three plane angles, any two of them are... | |
 | Euclides - 1861 - 464 pàgines
...p. 253. SUBSIDIARY PROPOSITIONS. PROP. B. — ТBEOK. If an angle of a triangle be bisected by a st. line which likewise cuts the base; the rectangle contained by the sides of the triangle is equal to tie rectangle contained by the segments of the base, together with the square of the st. line which... | |
 | War office - 1861 - 714 pàgines
...square that lies without the circle. 2. If from any angle of a triangle a perpendicular be let fall on the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. The sides of a right-angled... | |
 | Woolwich roy. military acad - 1861 - 572 pàgines
...the base, or the base produced, the difference of the square on this line and the square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 6. If two parallel planes be cut by another plane their common sections with it are parallels. A pyramid... | |
 | Woolwich roy. military acad - 1864 - 588 pàgines
...in the pentagon FDEGC. 11. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. If ABC be the triangle,... | |
 | Samuel H. Winter - 1864 - 348 pàgines
...base or the base produced, the difference between the square on this line and the square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 12. A pyramid is cut by a plane parallel to the base; show that the section is a figure which is similar... | |
 | Robert Potts - 1865 - 528 pàgines
...the sector EHF. (v. def. 5.) Wherefore, in equal circles, &o. cj. ED PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line which likewise outs the bast ; the rectangle contained by the sides of the triangle is equal to the rectangle contained... | |
 | Euclides - 1865 - 402 pàgines
...THEOREM. 7y an angle of a triangle be bisected by a straight tine which lihewise cuts the base ; then the rectangle contained by the sides of the triangle is equal to ihc rectangle contained by the segments of the base, together with the square of the straight line... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pàgines
...sector EHF. [V. Definition 5. Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM. l/the vertical angle of a triangle be bisected by a straight line...contained by the sides of the triangle is equal to (he rectangle contained by the segments of the base, together with the square on the straight line... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...PROPOSITION C. THEOREM. If from the vertical angle of a triangle a straight line lie drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is- equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
| |
If the vertical angle of a triangle be bisected by a straight line which also cute the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight... 
